Digitale Medien
Springer
Numerische Mathematik
29 (1978), S. 409-424
ISSN:
0945-3245
Schlagwort(e):
AMS (MOS): 65LO5
;
CR: 5.17
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Summary In a recent article [2] Frank and Überhuber define and motivate the method of iterated defect correction for Runge-Kutta methods. They prove a theorem on the order of that method using the theory of asymptotic expansions. In this paper we give similar results using the theory of Butcher series (see [4]). Our proofs are purely algebraic. We don't restrict our considerations to Runge-Kutta methods, but we admit arbitrary linear one-step methods. At the same time we consider more general defect functions as in [2].
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF01432878
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